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hram777 [196]
3 years ago
7

2. Define any variables and tell the slope and y-intercept of the situation. Then, write an equation to represent

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

x=number of hours

c(x)= 25x+75

y-intercept= (0, 75)

Equation= y=25x+75

Slope= 25

Step-by-step explanation:

75 would be the y intercept(constant) because that's the initial charge for a call.

25 would be the coefficient for x because the hour you spend on the call varies.

The slope is how steep the line is, in this case it is 25.

x is the number of hours because that is the time that varies.

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Find the distance between the origin and the points (-8,4)​
Papessa [141]

Hi, I'm happy to help!

To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.

The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.

First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, <u>so we move 8 x units.</u>

Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, <u>so we move 4 y units.</u>

Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.

Let's say x distance is a, and y distance is b. Now, apply the values:

8²+4²=c²

64+16=c²

80=c²

Now, we need to find the value of c, so we need to find the square root of 80.

√80=c

8.9442...=c

Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.

<u>To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.</u>

I hope this was helpful, keep learning! :D

8 0
2 years ago
Two last help with math please and thanks!
12345 [234]
1st problem:
Use the Pythagorean theorem:
a^2+b^2=c^2
49+361=c^2
c^2=410
c=20.24
The answer is 20m

2nd problem:
First calculate the height using the Pythagorean theorem:
a^2+b^2=c^2
20^2+b^2=625     (i got 20 {radius} by half-ing the base edge length)
400+b^2=625
b^2=225
b=15

Next, solve for the volume:
V=a^2*h/3
V=40^2*15/3
V=1600*5
V=8000

The answer is the second choice or B.

5 0
3 years ago
Read 2 more answers
given that BD is the median of ABD and that ABD is isosceles congruence postulate SSS can be used to prove which of the followin
Alja [10]

It is given in the question that

BD is the median. So it divides the opposite sides in two equal parts .

Therefore in triangles BAD and BCD,

AB and AC are congruent because of isosceles triangle.

AD and CD are congruent because of the median BD.

And BD and BD are congruent .

So the two triangles are congruent by SSS and the correct option is the first option .

3 0
3 years ago
Read 2 more answers
Please help i will give brainliest to who is correct
Svetach [21]

Answer:

b=7

Step-by-step explanation:

7 0
3 years ago
Solve x^2+ 4x =15<br> thxssss
dmitriy555 [2]

Answer:

x=3/5

Step-by-step explanation:

x^2+4x=5

x+4x=5x

5x+2=5

-2 -2

5x=3

divide 5 from each side

5/5x=3/5

<u>x=3/5</u>

7 0
3 years ago
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